Heat generation and transport due to time-dependent forces

Abstract

We study heat transport for solids in the presence of arbitrary time-dependent force. Using nonequilibrium Green's function (NEGF) approach we present an exact analytical expression of current for the linear system. We found that the heat current can be expressed in terms of the displacement of the atoms in the center and the self energy of the baths. We carry out the calculation for the oscillatory driven force and study the steady state properties for one-dimensional linear chain and two-dimensional square lattice. We found that the heat current is related to the density of states of the system and is independent of the bath temperature in ballistic transport. The baths absorb energy only when their intrinsic frquency resonates with the applied frequency We also generalize the problem for multiple heat baths with different temperatures. We also discuss the effect due to nonlinear interactions in the center.

v2 : 9 pages, 9 figures

References in corpus (12)

• Heat Transport in low-dimensional systems
• Quantum thermal transport in nanostructures
• Nonequilibrium Green's function approach to mesoscopic thermal transport
• Heat transport in harmonic lattices
• Non-equilibrium work fluctuations for oscillators in non-Markovian baths
• Ratcheting Heat Flux against a Thermal Bias
• Shuttling heat across 1D homogenous nonlinear lattices with a Brownian heat motor
• Emergence and control of heat current from strict zero thermal bias
• Two simple models of classical heat pumps
• Transient behavior of heat transport in a thermal switch
• Energy Dissipation and Fluctuation-Response in Driven Quantum Langevin Dynamics
• Tunable heat pump by modulating the coupling to the leads

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• Heat current control in trapped BEC
• Frequency thermal response and cooling performance in a microscopic system with a time-dependent perturbation
• Nonequilibrium Green's functions in the study of heat transport of driven nanomechanical systems
• Thermal resonance in harmonically driven segmented Frenkel-Kontorova lattices with next-nearest-neighbor interactions